Exercise 11.  Let , where ,  .  Use the polar form of z and show that  

11 (a).     along the upper semicircle  .  

Solution 11 (a).

See text and/or instructor's solution manual.

Solution.  If    along the upper semicircle  ,  then

          

We are done.   

Aside.  We can let Mathematica double check our work.

This solution is complements of the authors.

(c) 2008 John H. Mathews, Russell W. Howell